85 more than a square of a number is the same as the sum of the square of the quantity that is 17 less than the number. What is the number?
Let N be the number
85 + N^2 = ( N - 17)^2 simplify
85 + N^2 = N^2 - 34N + 289 subtract N^2 from both sides
85 = -34N + 289 subtract 289 from both sides
85 - 289 = -34N
-204 = -34N divide both sides by -34
6 = N
Amione, you already answered that question yourself, why are you asking that question again?
Cphill's solution is wrong, because he got from
85+N2=N2-34*N+289 to
85= 34*N+289
the answer is N=6, not N=-6
Slight sign error...now corrected...!!!
